5460285600 has 1152 divisors, whose sum is σ = 25498368000. Its totient is φ = 1117670400.

The previous prime is 5460285553. The next prime is 5460285613. The reversal of 5460285600 is 65820645.

5460285600 is a `hidden beast` number, since 5 + 46 + 0 + 2 + 8 + 5 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 81496767 + ... + 81496833.

It is an arithmetic number, because the mean of its divisors is an integer number (22134000).

Almost surely, 2^5460285600 is an apocalyptic number.

5460285600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5460285600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12749184000).

5460285600 is an abundant number, since it is smaller than the sum of its proper divisors (20038082400).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5460285600 is a wasteful number, since it uses less digits than its factorization.

5460285600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 5460285600 is about 73893.7453374777. The cubic root of 5460285600 is about 1760.9152436651.

The spelling of 5460285600 in words is "five billion, four hundred sixty million, two hundred eighty-five thousand, six hundred".